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- W2897145655 abstract "Let $G$ be a split reductive algebraic group defined over a complete discrete valuation ring $mathbb{O}$, with residue field $mathbb{F}$ and fraction field $mathbb{K}$, where the fiber $G_{mathbb{F}}$ is geometrically standard. A balanced nilpotent section $x in text{Lie}(G)$ can roughly be thought of as an $mathbb{O}$-point in a $mathbb{K}$ nilpotent orbit such that the corresponding orbits over $mathbb{K}$ and $mathbb{F}$ have the same Bala--Carter label. In this paper, we will establish a number of results on the structure of the centralizer $G^x subseteq G$ of $x$. This includes a proof that $G^x$ is a smooth group scheme, and that the component groups of its geometric fibers are isomorphic." @default.
- W2897145655 created "2018-10-26" @default.
- W2897145655 creator A5076580171 @default.
- W2897145655 date "2018-10-15" @default.
- W2897145655 modified "2023-09-27" @default.
- W2897145655 title "On the centralizer of a balanced nilpotent section" @default.
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- W2897145655 hasPublicationYear "2018" @default.
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